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Nadya [2.5K]
3 years ago
11

A person on the top of a tall building looks through his binoculars at his friend that is 300 ft away from the building on the g

round. If the angle of depression from the person on the building is 30°, how tall is the building?
Mathematics
1 answer:
kvasek [131]3 years ago
5 0

Answer:

520 feets

Step-by-step explanation:

The height of the building, h can be obtuined using trigonometry ;

From the attached diagram, opposite side = 300 feets ; height, h = adjacent side

Hence,

Tan θ = opposite / Adjacent

Tan 30° = 300 / height

0.5773502 = 300 / height

Height = 300 / 0.5773502

Height = 519.615

Height = 520 feets

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